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Mathematics 11 Online
OpenStudy (anonymous):

I REALLY need HELP Please!! see attachments

OpenStudy (anonymous):

OpenStudy (anonymous):

find the slope, write your equation in standard form, then convert it to slope intercept form i'll give you a tip, the equation is >

OpenStudy (anonymous):

how to convert them this is giving me trouble its very hard

OpenStudy (jhannybean):

lol rob.

OpenStudy (anonymous):

so is it (3/2) =x

OpenStudy (jhannybean):

Use rise/run to find the slope. It goes up 3, and over 5.

OpenStudy (anonymous):

oh so is it the same but with five

OpenStudy (jhannybean):

yep. So your slope, \(m = \cfrac{3}{5}\)

OpenStudy (anonymous):

so how do i get the answer form there

OpenStudy (jhannybean):

You have your slope now, and you need to use one of your points to plug it into slope-intercept form \(y=mx+b\)

OpenStudy (calculusxy):

The formula for a slope intercept is y=mx+b

OpenStudy (calculusxy):

The b is where the y axis is and the m is the slope.

OpenStudy (anonymous):

y=(3/5)5x

OpenStudy (calculusxy):

If the slope is going to the left side it's a negative integer. If the slope is going to the right then it is a positive integer.

OpenStudy (anonymous):

so its positive

OpenStudy (jhannybean):

If the slope is negative, it's decreasing, therefore it's a decreasing function, vise versa.

OpenStudy (jhannybean):

Therefore this slope is positive, and so it's an increasing function, because we're counting ?UP 3, and over 5.

OpenStudy (calculusxy):

Now for your problem it is meaning that the 3/5 is the coordinates of (3,5) and the 5 is the x axis.

OpenStudy (calculusxy):

Remember that the number before the x is the coordinates.

OpenStudy (anonymous):

y=>3-5

OpenStudy (calculusxy):

Y= 3/5

OpenStudy (anonymous):

y=>3/5-5x

OpenStudy (calculusxy):

You don't change the x position.

OpenStudy (anonymous):

im sorry this is very difficult for me

OpenStudy (jhannybean):

You have your point \((0,\color{green}{-3})\) and \(\large \color{red}{m=\frac35}\) plug these points into your equation. \[\large y=mx+b\]\[\large y=\cfrac{3}{5} x -3\]

OpenStudy (calculusxy):

But you can use the distributive property for this.

OpenStudy (jhannybean):

@calculusxy , what do you mean by this? "Now for your problem it is meaning that the 3/5 is the coordinates of (3,5) and the 5 is the x axis."?

OpenStudy (anonymous):

would that be the answer Jhanny

OpenStudy (calculusxy):

Since you have 3/5x-5 you multiply both sides by 5 like (3/5*5) and (5*5). Then you would get 3x-25

OpenStudy (calculusxy):

That way you get rid of the fraction to make it easier.

OpenStudy (jhannybean):

3.5 is the slope, the distance between the two points (0,-3) and (5,0)\[\large m=\cfrac{y_2-y_1}{x_2-x_1} = \cfrac{0-(-3)}{5-0} = \cfrac{3}{5}\]

OpenStudy (jhannybean):

and yes, @darkzii , do you somewhat understand how i got there?

OpenStudy (anonymous):

yes i do

OpenStudy (anonymous):

so the answer is y=3/5x-3

OpenStudy (anonymous):

you converted them into the answer right

OpenStudy (calculusxy):

Yes

OpenStudy (calculusxy):

You converted the fraction from 3/5 to 3 to get the slope.

OpenStudy (anonymous):

so theres no greater than or equal to in this equation or less than or equal to?

OpenStudy (anonymous):

just equals

OpenStudy (calculusxy):

It is all a specific answer.

OpenStudy (jhannybean):

I've made a mistake it seems. Lets try this. Lets FIND the y-intercept. we use (0,-3) and m=3/5\[\large y=mx+b\]\[\large \color{red}{-3}= \cfrac{3}{5}\color{red}{(0)} +b\]\[\large b = -3\]Now we've found our y-intercept. We've now got our y-intercept, \(b=-3\) and our slope.\(m=\cfrac{3}{5}\) plug it into the form, \[\large y=\cfrac{3}{5}-3\]

OpenStudy (calculusxy):

That's what @darkzil wrote as his slope.

OpenStudy (jhannybean):

forgot the x.

OpenStudy (jhannybean):

y=3/5x-3*

OpenStudy (calculusxy):

Yes darkzil wrote that before in a reply.

OpenStudy (jhannybean):

Also, we can use our other point to find the y-intercept as well, \((5,0\)).\[\large y=mx+b\]\[\large 0=\cfrac{3}{5}(5)+b\]\[\large 0=3 + b\] \[\large b=-3\] Just showing how you can use either point to find your y-intercept.

OpenStudy (calculusxy):

@darkzil Did you find the answer to your problem?

OpenStudy (anonymous):

yes i did thank you guys

OpenStudy (calculusxy):

No problem!!! :)

OpenStudy (jhannybean):

And from your graph shown, I believe your function wuld look like \[\large y \ge \cfrac{3}{5}x-3\]

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